可加风险模型下相依Ⅰ型区间删失数据的一个Copula推断方法

可加风险模型是生存分析中一类重要的回归模型,许多学者对该模型进行过研究.但是针对相依Ⅰ型区间删失数据的研究却非常少,且已有的研究都假设删失时间与寿命之间的关联系数已知.显然,该假设在实际中未必成立.针对此问题,本文放松这一假设,提出一种新的基于Copula的方法对可加风险模型下相依Ⅰ型区间删失数据进行回归分析,给出参数部分估计量的渐近性质,通过数值模拟检验所提方法在有限样本下的表现,并进行实例分析.

A Copula model approach for the additive hazards model with dependent current status data

The additive hazards model is one of the most commonly used regression models in survival data analysis and many authors have discussed its inference under various situations. However, there exists very little literature on the analysis of dependent current status data under the additive hazards model, and the existing methods assume that the association coeffcient between the censoring time and the failure time is known. It is apparent that this may not be true in practice and corresponding to this, in this paper, we propose a new Copula model-based approach that does not need the assumption for analyzing the dependent current status data. The asymptotic properties of the resulting estimators are established, and a simulation study is conducted and suggests that the proposed method performs well for practical situations. Also an illustrative example is provided.